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Finding the Fourth Proportional to 2,564.18, 3,845.92 and 715.14

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Solution

The fourth proportional to 2,564.18, 3,845.92 and 715.14 is: 1,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.18 : 3,845.92 = 715.14 : x
  2. Step 2: Convert to fraction form
    2,564.18/3,845.92 = 715.14/x
  3. Step 3: Cross multiply
    2,564.18x = 3,845.92 × 715.14
  4. Step 4: Simplify right side
    2,564.18x = 2,750,361.89
  5. Step 5: Solve for x
    x = 2,750,361.89/2,564.18
  6. Step 6: Final answer
    x = 1,072.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.